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Finding the Fourth Proportional to 1,611.90, 2,418.14 and 572.51

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Solution

The fourth proportional to 1,611.90, 2,418.14 and 572.51 is: 858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.90 : 2,418.14 = 572.51 : x
  2. Step 2: Convert to fraction form
    1,611.90/2,418.14 = 572.51/x
  3. Step 3: Cross multiply
    1,611.90x = 2,418.14 × 572.51
  4. Step 4: Simplify right side
    1,611.90x = 1,384,416.81
  5. Step 5: Solve for x
    x = 1,384,416.81/1,611.90
  6. Step 6: Final answer
    x = 858.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.